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Some Novel Inequalities for LR-(k,h-m)-p Convex Interval Valued Functions by Means of Pseudo Order Relation.
- Source :
-
Fractal & Fractional . Dec2022, Vol. 6 Issue 12, p726. 19p. - Publication Year :
- 2022
-
Abstract
- In this paper, a new type of convexity is defined, namely, the left–right-(k,h-m)-p IVM (set-valued function) convexity. Utilizing the definition of this new convexity, we prove the Hadamard inequalities for noninteger Katugampola integrals. These inequalities generalize the noninteger Hadamard inequalities for a convex IVM, (p,h)-convex IVM, p-convex IVM, h-convex, s-convex in the second sense and many other related well-known classes of functions implicitly. An apt number of numerical examples are provided as supplements to the derived results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INTEGRAL operators
*PSEUDOCONVEX domains
*CONVEX functions
*INTEGRALS
Subjects
Details
- Language :
- English
- ISSN :
- 25043110
- Volume :
- 6
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Fractal & Fractional
- Publication Type :
- Academic Journal
- Accession number :
- 160988851
- Full Text :
- https://doi.org/10.3390/fractalfract6120726